Question

Dari Gambar disamping, OABC layang - layang garis singgung jika panjang OC = 8 cm dan OB = 17 cm, tentukan :
E. panjang tali busur AC

Answer 1

Verified answer

OC = 8 cm
OB = 17 cm

OC^2 = OD × OB
8^2 = OD × 17
64 = OD × 17
OD = 64/17 cm

BD = OB - OD
BD = 17 - 64/17
BD = 289/17 - 64/17
BD = 225/17 cm

CD^2 = OD × BD
CD^2 = 64/17 × 225/17
CD^2 = 14400/289
CD = V(14400/289)
CD = 120/17 cm

AC = 2 × CD
AC = 2 × 120/17
AC = 240/17
AC = 14 2/17 cm

Jadi panjang tali busur AC adalah 14 2/17 cm